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A characterization of the saturated closure of a homomorph of Lie algebras

โœ Scribed by A. A. Klimowicz


Book ID
112499921
Publisher
Springer
Year
1978
Tongue
English
Weight
98 KB
Volume
30
Category
Article
ISSN
0003-889X

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A Characterization of Certain Loop Lie A
โœ J.Marshall Osborn; Kaiming Zhao ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 113 KB

In this paper, we study Z ร— Z-graded Lie algebras A = i jโˆˆZ A i j with dim A i j โ‰ค 1 satisfying (I) dim A ยฑ1 0 = dim A 0 ยฑ1 = 1, and A is generated by A ยฑ1 0 A 0 ยฑ1 ; (II) iโˆˆZ A 0 j sl 2 ; (III) A -1 0 A 1 0 = 0, and adA ยฑ1 0 act faithfully on jโˆˆZ A j 1 . We show that A is necessarily isomorphic